Acta mathematica scientia,Series A ›› 2024, Vol. 44 ›› Issue (3): 586-594.

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Global Small Solutions of 3D Hall-Magnetohydrodynamic Equations

Yu Yanghai1,*(),Wang Hui1(),Wu Xing2()   

  1. 1. School of Mathematics and Statistics, Anhui Normal University, Anhui Wuhu 241002
    2. College of Information and Management Science, Henan Agricultural University, Zhengzhou 450002
  • Received:2022-09-27 Revised:2023-05-16 Online:2024-06-26 Published:2024-05-17
  • Supported by:
    NSFC(12101011)

Abstract:

In this paper, we establish the global solutions to the three-dimensional incompressible Hall-MHD equations provided that the initial horizontal velocity is sufficiently small, which improves the result given by Chae and Lee (J. Differ. Equ. 2014).

Key words: Hall-magnetohydrodynamic Equations, Global small solutions

CLC Number: 

  • O175.2
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